Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings

Details Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings

2010-08-02

arxiv.org/abs/1008.0263v2

Mathematics

Commutative Algebra

37 pages, 7 figures

Scientific paper

Using multiple Bernoulli series, we give a formula in the spirit of Euler
MacLaurin formula. We also give a wall crossing formula and a decomposition
formula. The study of these series is motivated by formulae of E.Witten for
volumes of moduli spaces of flat bundles over a surface.

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